Given numbers are 214,110,561,553

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 214,110,561,553 is 331949310.

Find LCM of 214,110,561,553 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 107 x 5 x 51 x 553 = 331949310

Therefore, the lowest common multiple of 214,110,561,553 is 331949310.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

214 x 110 x 561 x 553 = 7302884820

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

214 : 1, 2, 107, 214

110 : 1, 2, 5, 10, 11, 22, 55, 110

561 : 1, 3, 11, 17, 33, 51, 187, 561

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,110,561,553, is 1.

Now, the common factors can be found like this.

214:2x 107

110:2x 5x 11

561:3x 11x 17

553:7x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7302884820/(1x22)

LCM = 7302884820/22

LCM = 331949310

Thus, we can understand that the LCM of 214,110,561,553 is 331949310.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 629, 486, 326, 426
• LCM of 466, 134, 615, 258
• LCM of 615, 786, 695, 905
• LCM of 810, 332, 597, 674
• LCM of 435, 786, 227, 465

1. What is the LCM of 214, 110, 561, 553?

Answer: LCM of 214, 110, 561, 553 is 331949310.

2. How to calculate the LCM of 214, 110, 561, 553?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 214, 110, 561, 553.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.